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Pipes and Cisterns Worksheet

Quantitative aptitude lesson 22: Pipes and cisterns · Set 129 · 40 questions
TalentJR

The method (Tank = LCM units): Tank = LCM of all the hours. Each pipe: tank ÷ its hours = units an hour. Fillers +, emptiers −. Time = tank ÷ net units an hour. One pipe alone: together rate − the other pipe’s rate.

NameDateTime takenScore ___ / 40
  1. 1.Pipes A and B together fill a tank in 12 hours. Pipe A alone fills it in 18 hours. How many hours does pipe B alone take?
  2. 2.Pipe A fills a tank in 20 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  3. 3.Pipes A and B fill a tank in 5 and 12 hours. Pipe C empties the full tank in 4 hours. If all three are open, how many hours does the tank take to fill?
  4. 4.Pipe A fills a tank in 6 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  5. 5.Pipes A and B together fill a tank in 4 hours. Pipe A alone fills it in 5 hours. How many hours does pipe B alone take?
  6. 6.Pipe A fills a tank in 5 hours and pipe B fills it in 20 hours. How many hours do both pipes take together?
  7. 7.Pipe A fills a tank in 9 hours and pipe B fills it in 18 hours. How many hours do both pipes take together?
  8. 8.Pipes A and B fill a tank in 6 and 10 hours. Pipe C empties the full tank in 5 hours. If all three are open, how many hours does the tank take to fill?
  9. 9.Pipe A fills a tank in 4 hours and pipe B fills it in 12 hours. How many hours do both pipes take together?
  10. 10.Pipe A fills a tank in 21 hours and pipe B fills it in 28 hours. How many hours do both pipes take together?
  11. 11.A tap fills a tank in 3 hours. A leak at the bottom empties the full tank in 6 hours. With both open, how many hours does the tank take to fill?
  12. 12.Pipes A and B together fill a tank in 15 hours. Pipe A alone fills it in 24 hours. How many hours does pipe B alone take?
  13. 13.Pipes A and B fill a tank in 6 and 12 hours. Pipe C empties the full tank in 20 hours. If all three are open, how many hours does the tank take to fill?
  14. 14.Pipes A and B fill a tank in 5 and 10 hours. Pipe C empties the full tank in 4 hours. If all three are open, how many hours does the tank take to fill?
  15. 15.Pipes A and B fill a tank in 8 and 15 hours. Pipe C empties the full tank in 6 hours. If all three are open, how many hours does the tank take to fill?
  16. 16.Pipes A and B fill a tank in 15 and 20 hours. Pipe C empties the full tank in 30 hours. If all three are open, how many hours does the tank take to fill?
  17. 17.Pipes A and B fill a tank in 5 and 20 hours. Pipe C empties the full tank in 8 hours. If all three are open, how many hours does the tank take to fill?
  18. 18.Pipes A and B together fill a tank in 6 hours. Pipe A alone fills it in 12 hours. How many hours does pipe B alone take?
  19. 19.A tap fills a tank in 15 hours. A leak at the bottom empties the full tank in 30 hours. With both open, how many hours does the tank take to fill?
  20. 20.Pipes A and B together fill a tank in 7 hours. Pipe A alone fills it in 14 hours. How many hours does pipe B alone take?
  21. 21.Pipes A and B fill a tank in 4 and 8 hours. Pipe C empties the full tank in 3 hours. If all three are open, how many hours does the tank take to fill?
  22. 22.Pipes A and B together fill a tank in 3 hours. Pipe A alone fills it in 4 hours. How many hours does pipe B alone take?
  23. 23.Pipes A and B together fill a tank in 2 hours. Pipe A alone fills it in 6 hours. How many hours does pipe B alone take?
  24. 24.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 7 hours. If all three are open, how many hours does the tank take to fill?
  25. 25.A tap fills a tank in 12 hours. A leak at the bottom empties the full tank in 21 hours. With both open, how many hours does the tank take to fill?
  26. 26.Pipes A and B fill a tank in 7 and 14 hours. Pipe C empties the full tank in 6 hours. If all three are open, how many hours does the tank take to fill?
  27. 27.Pipes A and B together fill a tank in 2 hours. Pipe A alone fills it in 3 hours. How many hours does pipe B alone take?
  28. 28.A tap fills a tank in 20 hours. A leak at the bottom empties the full tank in 25 hours. With both open, how many hours does the tank take to fill?
  29. 29.Pipes A and B fill a tank in 3 and 6 hours. Pipe C empties the full tank in 4 hours. If all three are open, how many hours does the tank take to fill?
  30. 30.Pipe A fills a tank in 3 hours and pipe B fills it in 6 hours. How many hours do both pipes take together?
  31. 31.Pipes A and B fill a tank in 9 and 18 hours. Pipe C empties the full tank in 24 hours. If all three are open, how many hours does the tank take to fill?
  32. 32.Pipes A and B fill a tank in 5 and 10 hours. Pipe C empties the full tank in 20 hours. If all three are open, how many hours does the tank take to fill?
  33. 33.Pipes A and B together fill a tank in 2 hours. Pipe A alone fills it in 4 hours. How many hours does pipe B alone take?
  34. 34.Pipes A and B together fill a tank in 3 hours. Pipe A alone fills it in 6 hours. How many hours does pipe B alone take?
  35. 35.Pipe A fills a tank in 15 hours and pipe B fills it in 30 hours. How many hours do both pipes take together?
  36. 36.A tap fills a tank in 9 hours. A leak at the bottom empties the full tank in 12 hours. With both open, how many hours does the tank take to fill?
  37. 37.A tap fills a tank in 8 hours. A leak at the bottom empties the full tank in 9 hours. With both open, how many hours does the tank take to fill?
  38. 38.A tap fills a tank in 3 hours. A leak at the bottom empties the full tank in 12 hours. With both open, how many hours does the tank take to fill?
  39. 39.A tap fills a tank in 6 hours. A leak at the bottom empties the full tank in 12 hours. With both open, how many hours does the tank take to fill?
  40. 40.Pipes A and B fill a tank in 2 and 12 hours. Pipe C empties the full tank in 4 hours. If all three are open, how many hours does the tank take to fill?

Answer key

  1. 36
  2. 12
  3. 30
  4. 5
  5. 20
  6. 4
  7. 6
  8. 15
  9. 3
  10. 12
  11. 6
  12. 40
  13. 5
  14. 20
  15. 40
  16. 12
  17. 8
  18. 12
  19. 30
  20. 14
  21. 24
  22. 12
  23. 3
  24. 42
  25. 28
  26. 21
  27. 6
  28. 100
  29. 4
  30. 2
  31. 8
  32. 4
  33. 4
  34. 6
  35. 10
  36. 36
  37. 72
  38. 4
  39. 12
  40. 3

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